A man shared his lottery winnings of $100,000 with his wife and two children. Ho

Question

A man shared his lottery winnings of $100,000 with his wife and two children. How much did his wife receive?

    Statement 1: The wife received $20,000 less than her husband and $20,000 more than each of the children.

    Statement 2: He gave $10,000 to each of his children.

Which of the statements above make it possible to answer the question?

Statement 1 alone is sufficient, but Statement 2 alone is not sufficient

Statement 2 alone is sufficient, but Statement 1 alone is not sufficient

Each statement alone is sufficient

Both statements together are sufficient, but neither statement alone is sufficient

Statements 1 and 2 together are not sufficient

Explanation / Answer

Statement 1 alone is sufficient, but Statement 2 alone is not sufficient.

This is because, from Statement 1 we can formulate an equation and get the amount which the wife received.

But only if Statement 2 is provided, we can have infinite number of solutions for the money received by wife.

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